梯形电容网络的等效电容

Study on the Ladder-shaped Capacitor Network

通过递推关系和相应的初始条件,给出了梯形电容网络总等效电容随级数n变化的具体表达式,并通过讨论指出:当网络级数n足够大时,等效电容总可以趋近于一个与负载电容C0无关的稳定值;只有当网络中的C1、C2都很小,且级数n不太大的情形下,负载电容C0的影响才显著.

The concrete expression formula of equivalent capacitance of ladder- shaped capacitor network is given. Through discussion we find that with the increase of network series the equivalent capacitance will approach a stable value. When C1, C2 and C0 are small, the affection of Co will be remarkable.